Finite Math Examples

$27 x^{8} - 63 x^{5} y^{6} + 54 x^{3} y^{2}$

Step 1

Reorder $27 x^{8}$ and $- 63 x^{5} y^{6}$ .

$- 63 x^{5} y^{6} + 27 x^{8} + 54 x^{3} y^{2}$

Step 2

Factor $- 9 x^{3}$ out of $- 63 x^{5} y^{6}$ .

$- 9 x^{3} (7 x^{2} y^{6}) + 27 x^{8} + 54 x^{3} y^{2}$

Step 3

Factor $- 9 x^{3}$ out of $27 x^{8}$ .

$- 9 x^{3} (7 x^{2} y^{6}) - 9 x^{3} (- 3 x^{5}) + 54 x^{3} y^{2}$

Step 4

Factor $- 9 x^{3}$ out of $54 x^{3} y^{2}$ .

$- 9 x^{3} (7 x^{2} y^{6}) - 9 x^{3} (- 3 x^{5}) - 9 x^{3} (- 6 y^{2})$

Step 5

Factor $- 9 x^{3}$ out of $- 9 x^{3} (7 x^{2} y^{6}) - 9 x^{3} (- 3 x^{5})$ .

$- 9 x^{3} (7 x^{2} y^{6} - 3 x^{5}) - 9 x^{3} (- 6 y^{2})$

Step 6

Factor $- 9 x^{3}$ out of $- 9 x^{3} (7 x^{2} y^{6} - 3 x^{5}) - 9 x^{3} (- 6 y^{2})$ .

$- 9 x^{3} (7 x^{2} y^{6} - 3 x^{5} - 6 y^{2})$